Question: What are the next two numbers in the given series? 2, 11, 75, 700, 8476, ?, ?
Answer:
The next two numbers in the series are 126125 and 2223277.
The pattern is -
2 = 2^1
11 = 2^1 + 3^2
75 = 2^1 + 3^2 + 4^3
700 = 2^1 + 3^2 + 4^3 + 5^4
8476 = 2^1 + 3^2 + 4^3 + 5^4 + 6^5
126125 = 2^1 + 3^2 + 4^3 + 5^4 + 6^5 + 7^6
2223277 = 2^1 + 3^2 + 4^3 + 5^4 + 6^5 + 7^6 + 8^7
45269998 = 2^1 + 3^2 + 4^3 + 5^4 + 6^5 + 7^6 + 8^7 + 9^8